Clifford algebras and its applications

This study consists of four chapters.In the first chapter, it is given an historical development of the Clifford Algebra also called as Geometrical Algebra and introduced the unipodal number system and furthermore an isomorphism is constructed between Clifford algebra and matrix algebra.The second chapter includes the generalized inner and outer products as well as the geometrical product. In this chapter we also define the reversion and the norm of a k-vector and inverse of a k-blade.In the third chapter, we present some applications of geometrical algebra such as projection, line and plane, complex numbers, reflection and the rotation of three dimensional.Finally, the last chapter covers an evaluation of the thesis.